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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
43/2014

An example of a vector field with the oriented shadowing property

Sergey Tikhomirov

Abstract

We consider shadowing properties for vector fields corresponding to different type of reparametrisations. We give an example of a vector field which has the oriented shadowing properties, but does not have the standard shadowing property.

Received:
Mar 28, 2014
Published:
Apr 4, 2014
MSC Codes:
37C50, 37C10
Keywords:
Shadowing, Vector field, reparametrization, structural stability

Related publications

inJournal
2015 Repository Open Access
Sergey Tikhomirov

An example of a vector field with the oriented shadowing property

In: Journal of dynamical and control systems, 21 (2015) 4, pp. 643-654